TSTP Solution File: GEO546+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:17:47 EDT 2024
% Result : Theorem 23.64s 3.74s
% Output : Refutation 23.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 189 ( 91 unt; 0 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 312 ( 111 ~; 99 |; 66 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 501 ( 483 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f586627,plain,
$false,
inference(subsumption_resolution,[],[f586556,f438790]) ).
fof(f438790,plain,
para(sK6,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f385938,f438692,f432]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f438692,plain,
midp(sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f844,f310142,f390]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f310142,plain,
cong(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f6677,f6820,f6677,f7496,f464]) ).
fof(f464,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f7496,plain,
eqangle(sK9,sK4,sK9,sK5,sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f6677,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f6820,plain,
cyclic(sK4,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f6243,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f6243,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f1763,f5957,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f5957,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f5815,f452]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f5815,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f609,f597,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f597,plain,
perp(sK7,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f376,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f376,plain,
perp(sK7,sK6,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK5,sK9,sK4,sK6)
& coll(sK9,sK4,sK8)
& coll(sK9,sK6,sK7)
& coll(sK8,sK5,sK6)
& perp(sK8,sK4,sK5,sK6)
& coll(sK7,sK4,sK5)
& perp(sK7,sK6,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> ( ~ perp(sK5,sK9,sK4,sK6)
& coll(sK9,sK4,sK8)
& coll(sK9,sK6,sK7)
& coll(sK8,sK5,sK6)
& perp(sK8,sK4,sK5,sK6)
& coll(sK7,sK4,sK5)
& perp(sK7,sK6,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> perp(X1,X5,X0,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X4,X5,X13] :
( ( coll(X13,X0,X5)
& coll(X13,X2,X4)
& coll(X5,X1,X2)
& perp(X5,X0,X1,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1) )
=> perp(X1,X13,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X4,X5,X13] :
( ( coll(X13,X0,X5)
& coll(X13,X2,X4)
& coll(X5,X1,X2)
& perp(X5,X0,X1,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1) )
=> perp(X1,X13,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
fof(f609,plain,
perp(sK5,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f597,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f1763,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f1066,f1066,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f1066,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f823,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f823,plain,
coll(sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f699,f714,f405]) ).
fof(f714,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f502,f502,f405]) ).
fof(f502,plain,
coll(sK9,sK7,sK6),
inference(unit_resulting_resolution,[],[f380,f386]) ).
fof(f380,plain,
coll(sK9,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f699,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f518,f518,f405]) ).
fof(f518,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f379,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f379,plain,
coll(sK8,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f6677,plain,
cyclic(sK4,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f6312,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f6312,plain,
cyclic(sK5,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f6225,f396]) ).
fof(f6225,plain,
cyclic(sK5,sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f715,f5843,f413]) ).
fof(f5843,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f5812,f452]) ).
fof(f5812,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f608,f376,f468]) ).
fof(f608,plain,
perp(sK4,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f376,f403]) ).
fof(f715,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f503,f503,f405]) ).
fof(f503,plain,
coll(sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f381,f386]) ).
fof(f381,plain,
coll(sK9,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f844,plain,
coll(sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f517,f743,f405]) ).
fof(f743,plain,
coll(sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f704,f386]) ).
fof(f704,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f377,f377,f405]) ).
fof(f377,plain,
coll(sK7,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f517,plain,
coll(sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f500,f387]) ).
fof(f500,plain,
coll(sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f386]) ).
fof(f385938,plain,
! [X0] : midp(sK6,X0,X0),
inference(unit_resulting_resolution,[],[f383503,f29956]) ).
fof(f29956,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| midp(X0,X1,X1) ),
inference(subsumption_resolution,[],[f29934,f29804]) ).
fof(f29804,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f14921,f462]) ).
fof(f462,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f14921,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK5,X0,X1,sK4,sK5),
inference(unit_resulting_resolution,[],[f5843,f489]) ).
fof(f489,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f29934,plain,
! [X2,X0,X1] :
( midp(X0,X1,X1)
| ~ para(X2,X1,X2,X1)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f29804,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f383503,plain,
midp(sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f1047,f310129,f390]) ).
fof(f310129,plain,
cong(sK6,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f7019,f6367,f6367,f6786,f464]) ).
fof(f6786,plain,
eqangle(sK8,sK6,sK8,sK5,sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f6367,f397]) ).
fof(f6367,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f6236,f396]) ).
fof(f6236,plain,
cyclic(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f710,f5874,f413]) ).
fof(f5874,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f5816,f452]) ).
fof(f5816,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f610,f378,f468]) ).
fof(f378,plain,
perp(sK8,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f610,plain,
perp(sK5,sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f378,f403]) ).
fof(f710,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f501,f501,f405]) ).
fof(f501,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f379,f386]) ).
fof(f7019,plain,
cyclic(sK6,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f6477,f394]) ).
fof(f6477,plain,
cyclic(sK5,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f6248,f396]) ).
fof(f6248,plain,
cyclic(sK5,sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f709,f5992,f413]) ).
fof(f5992,plain,
! [X0,X1] : eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f5819,f452]) ).
fof(f5819,plain,
para(sK6,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f611,f598,f468]) ).
fof(f598,plain,
perp(sK8,sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f402]) ).
fof(f611,plain,
perp(sK6,sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f598,f403]) ).
fof(f709,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f379,f379,f405]) ).
fof(f1047,plain,
coll(sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f518,f818,f405]) ).
fof(f818,plain,
coll(sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f710,f386]) ).
fof(f586556,plain,
~ para(sK6,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f627,f310469,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f310469,plain,
! [X0] : perp(sK5,sK5,X0,sK5),
inference(subsumption_resolution,[],[f310459,f288362]) ).
fof(f288362,plain,
! [X0] : cong(sK5,X0,sK5,X0),
inference(unit_resulting_resolution,[],[f57579,f57579,f52337,f44677,f464]) ).
fof(f44677,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(unit_resulting_resolution,[],[f29820,f452]) ).
fof(f29820,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f29804,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f52337,plain,
! [X2,X0,X1] : cyclic(sK5,X0,X1,X2),
inference(unit_resulting_resolution,[],[f48625,f48625,f439]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f48625,plain,
! [X0,X1] : cyclic(sK5,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f46317,f46317,f439]) ).
fof(f46317,plain,
! [X0] : cyclic(sK4,sK5,sK5,X0),
inference(unit_resulting_resolution,[],[f45149,f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f45149,plain,
! [X0] : cyclic(sK4,sK5,X0,sK5),
inference(unit_resulting_resolution,[],[f31808,f396]) ).
fof(f31808,plain,
! [X0] : cyclic(sK4,X0,sK5,sK5),
inference(unit_resulting_resolution,[],[f5957,f30176,f413]) ).
fof(f30176,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f29819,f29819,f405]) ).
fof(f29819,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f29804,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f57579,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f50762,f50762,f439]) ).
fof(f50762,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f48137,f48137,f439]) ).
fof(f48137,plain,
! [X0,X1] : cyclic(sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f45844,f45844,f439]) ).
fof(f45844,plain,
! [X0] : cyclic(sK4,sK5,sK4,X0),
inference(unit_resulting_resolution,[],[f44884,f395]) ).
fof(f44884,plain,
! [X0] : cyclic(sK4,sK5,X0,sK4),
inference(unit_resulting_resolution,[],[f44795,f396]) ).
fof(f44795,plain,
! [X0] : cyclic(sK4,X0,sK5,sK4),
inference(unit_resulting_resolution,[],[f44555,f394]) ).
fof(f44555,plain,
! [X0] : cyclic(X0,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f29809,f396]) ).
fof(f29809,plain,
! [X0] : cyclic(X0,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f698,f14921,f413]) ).
fof(f698,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f517,f517,f405]) ).
fof(f310459,plain,
! [X0] :
( perp(sK5,sK5,X0,sK5)
| ~ cong(sK5,X0,sK5,X0) ),
inference(resolution,[],[f304365,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f304365,plain,
cong(sK5,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f6719,f6719,f6719,f7544,f464]) ).
fof(f7544,plain,
eqangle(sK6,sK5,sK6,sK5,sK5,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f6719,f397]) ).
fof(f6719,plain,
cyclic(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f6336,f396]) ).
fof(f6336,plain,
cyclic(sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f6233,f394]) ).
fof(f6233,plain,
cyclic(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f845,f5874,f413]) ).
fof(f845,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f743,f743,f405]) ).
fof(f627,plain,
~ perp(sK6,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f607,f402]) ).
fof(f607,plain,
~ perp(sK6,sK4,sK5,sK9),
inference(unit_resulting_resolution,[],[f596,f403]) ).
fof(f596,plain,
~ perp(sK5,sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f382,f402]) ).
fof(f382,plain,
~ perp(sK5,sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 06:10:29 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (12487)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (12490)WARNING: value z3 for option sas not known
% 0.15/0.38 % (12491)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (12489)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (12490)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (12488)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (12492)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (12493)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (12494)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.47 TRYING [1]
% 0.22/0.49 TRYING [2]
% 1.97/0.71 TRYING [1]
% 1.97/0.71 TRYING [2]
% 2.60/0.74 TRYING [3]
% 5.20/1.12 TRYING [3]
% 23.64/3.73 % (12494)First to succeed.
% 23.64/3.74 % (12494)Refutation found. Thanks to Tanya!
% 23.64/3.74 % SZS status Theorem for theBenchmark
% 23.64/3.74 % SZS output start Proof for theBenchmark
% See solution above
% 23.64/3.74 % (12494)------------------------------
% 23.64/3.74 % (12494)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 23.64/3.74 % (12494)Termination reason: Refutation
% 23.64/3.74
% 23.64/3.74 % (12494)Memory used [KB]: 40628
% 23.64/3.74 % (12494)Time elapsed: 3.357 s
% 23.64/3.74 % (12494)Instructions burned: 12506 (million)
% 23.64/3.74 % (12494)------------------------------
% 23.64/3.74 % (12494)------------------------------
% 23.64/3.74 % (12487)Success in time 3.316 s
%------------------------------------------------------------------------------